PEAZIT Aha card
Go straight to resources ↓Multiplying fractions: a part of a part
Two thirds of three quarters means 2/3 × 3/4. Multiply the numerators and multiply the denominators.
| Expression | Meaning |
|---|---|
| 2/3 × 3/4 | Take two thirds of the selected three quarters. |
| (2 × 3)/(3 × 4) = 6/12 | Twelve small pieces in total, six selected. |
| 6/12 = 1/2 | Divide numerator and denominator by six. |
One worked example
- 2/3 × 3/4Take two thirds of the selected three quarters.
- (2 × 3)/(3 × 4) = 6/12Twelve small pieces in total, six selected.
- 6/12 = 1/2Divide numerator and denominator by six.
Watch out: Multiplying a positive number by a positive fraction below 1 makes it smaller. No common denominator is needed.
Goal, prerequisites and card origin
What you will learn: Calculate a fraction of another fraction.
What you need first: Fraction meaning and simplification.
An original PEAZIT working card. Independent expert review and effectiveness testing have not yet taken place. · v1
Show connections
Two thirds of three quarters means 2/3 × 3/4. Multiply the numerators and multiply the denominators.